Answer:
Step-by-step explanation:
y=2x-5
From y=mx+c
Comparing the equation
M=2.
For parallelism
M₁=M₂
y-y₁=m(x-x₁) equation of a line passing through a point
point (-4,2) are x₁ and y₁ respectively
y-2=2(x-(-4))
y-2=2(x+4)
y-2=2x+8
y=2x+8+2
y=2x+10
Let us take a sharp point for the graph.
In 4 hours total earning is $30.
Therefore, earnings per hours would be 30/4 = $7.5 per hour.
Are given direct variation between Total earnings(E) and Number of hours worked(h).
So, we can setup a direct variation as
Total earnings = Earning each hour * Number of hours.
Therefore, direct variation function would be
E=7.5*h.
Therefore, the direct variation function between E, the total earnings in dollars, and h, the number of hours worked is E = 7.5h.
Answer:
Solution : y = ± 1/3x
Step-by-step explanation:
Remember that the equation of a hyperbola is in the form (y - k)² / a² - (x - h)² / b² = 1. Therefore we have a² here = 9, and b² here = 81.
To determine the asymptotes we can use the equation y = k ± a/b(x - h). What makes this equation really simple, is that k = 0 and h = 0, giving us y = ± a/b(x). Let's isolate a and b given a² = 9, and b² = 81 --- (1)
a² = 9
a = 3
b² = 81
b = 9
Therefore our asymptotes will be in the form y = ± a/b(x) = ± 3/9(x) = ± 1/3x. Our solution is thus option a.
Answer: 
Step-by-step explanation:
Given expression: 
The law of exponents are given by :_
Using PEDMAS, first we solve division, we get
Now, using product law of exponent we get
What do you mean put in standard form?
